Low AMH and IUI/IVF success?

Gaelyn • Rainbow baby Stevie Grace born Feb ‘18 after 3 losses. TTC number 2. Wife of Chris. Stepmom of Zoe (13) Pitbull mom. Lover of rainbows, sunsets, summer, adventure.
Hi ladies. Quick introduction - I've just turned 31 and in September 2015 I was diagnosed with low AMH of 0.5. While preparing for our first IUI we conceived naturally earlier this year, but sadly miscarried recently. Our situation is complicated because DH works abroad 6 weeks at a time, and I'm very overweight. I'm wondering whether it's worth waiting a few months to lose weight and get fitter before attempting IUI (dr has recommended 2 or 3 rounds before moving onto IVF). If any of you lovely ladies have advice/tips/experience to share with me please share! I am so new at all this and would appreciate all the help I can get.