HI.
A new doc will be ok if thats what you want. They can get your records from the old one. You can keep seeing your child hood doc though if you prefer too.

Internals aren't really necessary til labour. Occasionally a doc will do one early on to guess how far you are, but I think it's pretty rare. (my first trip at 6 wks with DD1 I had one.)

HPT's these days are reliable enough, but they could get you to do another test the same there. They will usually send you for a BT anyway to find out your blood type, rubella immunity & test for Hep B.
They may also check HCG levels, but now always.

You should see your doc once in the first 12 weeks, then every month after that. You will get a referral to either an OB or an antenatal clinic, depending on where you are.
I had OBs with the girls, but a clinic with DS. It was an OB & midwife clinic run through the hospital.

Congratulations & good luck!