I'd like to invite you to my new house for a visit.

我想请你到我的新房子看看。

I'd like to invite you to… 我想邀请你参加…   例：I'd like to invite you to our dancing party,are you free? 我想邀请你参加我们的晚会，有空吗？I'd like to invite you to our dress party tonight.Would you care to join us? 我想邀请你参加今晚的化妆舞会，你愿意参加吗？