Congrats on starting a new chapter in your life! Think a pre-preg check would allow the dr to check if you and your husband's health conditions are optimal for conceiving, e.g. whether there are any polyps in your womb, eggs in both ovaries, healthy sperm count etc. Usually they will check wives first (prob with a transvaginal ultrasound) then ask you to try a few months before checking hubbies if the attempts had been unsuccessful. At least that's how mine went.
Can't comment on the drs you mentioned as I dont't have experience with them. Re the overweight issue, the dr you visit for pre-preg should be able to advise on the matter.
On a side note, do try using the ovulation predictor kits (avail at pharmacies) and monitoring your body basal temp. I tried conceiving for about a yr just based on calculating dates but was unsuccessful until I used the two methods mentioned above.
Hope this helps and God bless in your endeavour!