(I should probably begin by saying: I'm not a "transitioner")
There are lots of former Baptists in Presbyterian pulpits. Maybe fewer gone the other way, who began as catechized Presbyterians. But given the ecclesiological landscape in the USA, it should come as no surprise. I doubt if one in a hundred confessional Presbyterian or Reformed churches considering someone as a candidate for a ministerial position collectively cares that much about a man's background; but what are his commitments today. "Insiders" and "outsiders" each have different strengths and weaknesses.
Joining a Presbyterian or Reformed church is important. This has to do with "culture." Like any major move, you have to learn to adapt to a place where you are the unknown quantity, where most people do what they do like second-nature. We scarcely know our own "habits," and just assume they are the same for everyone no matter where he lives. There will probably be much that is familiar. And, surprising different "feel" to this or that.
Plus, there can be as much diversity among Presbyterian churches that claim to be in full agreement with one another doctrinally and practically, besides having organic connection; as there is between two Baptist churches up and down the same highway. So, don't be surprised if you end up searching for a "good fit." Be sure to pray for wisdom as you decide. And wherever you land, realize it's not perfect. No place is, and neither are you. You need to grow to love your church home, warts and all.
In many respects, congregational church order doesn't often feel different between congregations of different associations (Baptist, Presbyterian, Methodist, etc.). If you have had little direct interaction with the leadership of your past congregations, outside of pastor-parishioner relations, you can start learning P&R polity just as simply as you would learn the ins-and-outs of typical Baptist organization.
One congregation of Presbyterians is not beholden to the leadership of another. The ministers and elder-commissioners from the congregations get together for the work of the church in broader or higher concern; which is Presbyterianism. But apart from judicial matters (usually rare and drastic) or the responsibility to care for a congregation that is without leadership, Presbytery tends to leave the congregations alone, to do the work of the church without micromanagement.
Presbyterians like the OPC, PCA, ARP, RPC, etc. do not have men called to permanent station superintending many congregations (like a hierarchical
bishop), not even administratively. The moderators of our respective assemblies are elected to ensure the meetings of the church are conducted in order. Those parties elected out of the whole to labor on behalf of the collective body in committees, do their work so that the full gathering of the church can conduct the business of general concern having the guidance of a few--who have (by distribution of labor) deeper knowledge of this or that area.
There is bound to be fewer committees at smaller church-representations. Congregational sessions do most of their work all together around one table; unless their congregation is quite large. Presbyteries (and higher bodies) tend to have committees dedicated to regular functions besides the special, because everyone is already busy with their congregational duties. When Presbytery meets, then one sees the extra work done by the committees' members.
Unless a church member takes an interest in the broader or higher apparatus of church organization, it is unlikely he will have much interaction with the church beyond what he encounters week to week, or special multi-congregational events that might be offered here and there during the year that could be of interest to him. If you are interested in the ministry in one of the Presbyterian denominations, you will thus engage with more than the average pew-warmer engages--even those who genuinely care about their denominational identity and trajectory.
Join a Presbyterian or Reformed church. Start learning the culture. Get involved. Become acclimated to the way things are done, both informally and formally. Ask if you can attend session meetings in order to see the work and listen to the discussions of business. Go to a Presbytery meeting. Read the Book of Church Order of your home denomination, and learn (as an observer) the ropes.