This is a very subjective topic but I will give you some go to options. There are lots of tanks out there and I have tried so many. I have been enjoying my Uwell Crown tanks. You can pick one up for about 25-30 bucks and I think MVS has them for 23. It comes with 3 coils (dual coil .25, dual coil .5. and a .15 NI(for TC only). Lots of people like the Atlantis as well as the Herakles. If you prefer mouth to lung then the Aspire Nautilus Mini is prolly the best one out there. You do not need to buy wicks as that pertains to DIY coils.
As far as batteries I would highly recommend the LG HG2 3000Mah 18650 or the Samsung INR 25R 18650 2500Mah. Illumination Supply. has them pretty cheap.. You will also need a charger for the batteries as its not recommended to charge batteries thru the device altho I dont think the Heatvape does.
Also if you have a PG allergy then I would recommend max VG juice. There are lots of vendors out there that sell max VG. Personally i buy from MigVapor, Stash, and Rastavapor to name a couple. Hope this helps!