Same as amy and zena, I was on lovenox throughout my pregnancy.
I started as soon as I found out I was pregnant and towards the end of my pregnancy they switched me to heparin for delivery reasons. After I had Danielle I went straight back onto the lovenox and I breastfed her.
I have protein C defiency and required only to have the blood thinners pregnancy and post pregnancy for 6 weeks.
lovenox is injections as you prob know already.
But I would have a talk to your gp and hemo' and discuss the best way for you. But some drs can cross paths and disagree on the same things. I found lovenox to be fine. Bub is 7 months old now and luckily she doesnt have my blood disorder that sadly took my dads life when i was young. The tested her after she was born and the lovenox and heparin had no affect on her what so ever.
Being pregnant puts more stress and is highly causable for blood clots. So please make sure you are at ease with all questions before hand.