Little training

If I have a lot of money, I will travel a lot. - Correct, because you are talking about future tense
If I had a lot of money, I would travel a lot - Correct, past & present tense.  If you had money (past) you would travel (present)  

 
If I have had a lot of money, I would have travelled a lot. "have" and "had" together are two different things.  Have (present) Had (past) 

"If I had a lot of money, I would have travelled a lot" (this is all past...saying if you had money in the past, you would have travelled a lot, in the past)  

or you could say

"If I could have had a lot of money, I would have travelled a lot".

"could have" in this case implies to the listener that it was possible for you to have money, but some circumstance or other reason has prevented you from having money to travel. 

I hope this helps you!

Little training

If I have had a lot of money, I will would travel a lot.
If I had a lot of money, I would travel a lot
If I have had a lot of money, I would have travelled a lot.