Methodists proclaim in every service to recognize the Catholic Church. Pentacostals believe in the gifts of the Holy Spirit among them...speaking in tongues and prophesy. The "day of Pentacost" refers to the "Upper Room" which Christians believe was a special enlightment.
In a sense there is no real difference. Methodists are christians by definition, they stick to the trinitarian point of view of Christianity (there is one God in three parts, father son and holy ghost). There are many different denominations or types of christianity. They are all very similar with their beliefs, the only difference is that the way that they choose to worship God is different to the way other denominations choose to worship. There are a few other differences in theology and practice, but these are minor differences. Usually it comes down to a different leadership and what hymns and songs are chosen and how a service is run. In all honestly methodist churches are christian churches, just like the church of england, pentecostal and URC churches. Each one of these denominations started out because they wanted to change the way things were done and worship God in the way they want to
methodist is a branch of christian
I was raised Mormon I have attended Baptist church many years. In the last year I have been attending the First Church of the Nazarene. I trusted Christ as my savior many years ago. I do see some differences between Baptist and Nazarene. I believe Christ is my savior, and once saved always saved. So far, I don't see a strong difference between Christian and Methodist.
nothing
Methodists are a little more traditional in their ceremonies (communion, reciting the Lord's prayer, etc.), but the belief system is the same. Baptisms are similar, but with the same ceremonious differences (Methodism being more formal than non-denominationalism) It's really just a question of formalities
The term 'free' goes back to a split between groups within the Methodist church. Some felt the Methodists were becoming too institutionalized, like other churches where a family 'purchased' a pew for their family. 'The pews should be 'free' to all' some argued, and this term was used by the group that split off from the main body.
Mosques are for Muslim worship and Churches are for Christian worship.
Protestant is a broad term for a number of Christian religions. The Church of Ireland is one of the Protestant Churches in Ireland.
Mainly their understanding of baptism. Certainly there are some major polity differences. Methodist are episcopal and have a chain of command outside of the local church. Baptists are congregational and so each baptist church runs their own church. Depending on the baptist church there are sometimes difference in belief on free will and predestination.
religion and spirituality
A Methodist church allows anyone to get baptized, regardless of age or mental maturity. They also let anyone take communion. Baptist churches only baptize youth and adults who confess their sins, not to babies. They also only allow those who are baptized to take part in communion.
Normally, a catholic cross will actually have Jesus' broken body on the cross. Christian crosses are normally just crosses. They both, however stand for the same thing. ___ Catholics are Christians by the way. You might mean what is the difference between a Protestant cross and a Catholic cross.
The main difference between prayers in Roman Catholic and Anglican churches, and those in nonconformist churches is that they are far less rigid and structured in the nonconformist churches. The prayers in both Roman Catholic and Anglican churches tend to follow specific structures and guidelines.
You haven't given enough information for your question to be answered. There are many "First" United Methodist Churches. Often there's one per town/city. There are also many "Aldersgate" United Methodist Churches, though "First" is by far the most common name. Aldersgate is a street in London, England where John Wesley's heart was "strangely warmed." John Wesley began the Methodist movement within the Anglican Church, which eventually became it's own church. From the information you've given, the only difference is the name. However, in any town where two churches of these names exist, you would be able to draw any number of comparisons such as worship attendance, worship style, theological hallmarks, and etc. You'd be better off searching for websites for each church or calling each church directly to find out the differences you're interested in.