I mostly use a Tascam DP006 multi track recorder. Most of the time I use just one track. I use the internal microphones most of the time on my recorder. I transfer the audio to my PC for further editing. For Chariots of Fire which I just put up for Season 251, I used the larger Tascam DP008 which is an 8 track recorder and I needed 6 of the 8 tracks for it.
I record the Video separately on a Panasonic Video Recorder and combine the two in my movie editor.
My PC runs Linux so I use open source software; Audacity for audio editing and Open Shot for movie editing.
If I'm away from home I'll record direct on to my iPad. I use a movie App called Movie Pro which I was recommended and it's free. It has basic editing facilities and the results have been pretty good using it.