The fish tank delemma

Some of you know that we have a fish tank in our apartment. I like fish and I used to have one in my bedroom before I moved to Southern Cal. I decided that I wanted to pick up from where I left off and buy the same kind of fish and see how they do here in our apartment. But I bought a 5 gallon tank for them this time. Originally I had gotten a fish tank as a wedding gift from my bridesmaids almost 4 years ago. I got some pretty colored white mollys and 2 frogs. The frogs were so cute. They were african frogs who liked the water. When David and I decided to move, (6 months after we were married), we tried to take the fish and frogs with us but they didn't make it. I guess they don't like to be sloshed around in a tank while I was holding them in the U-haul truck. Since those fish and frogs died, I decided it wasn't worth the time and effort to have a fish tank. Plus at the time I was too busy to care for them and they got neglected.
Until I decided that I wanted to start it up again last September.

So to make a long story short, I ran into a problem today. I was cleaning the tank because we are planning on going out of town for the weekend and the tank is long over due for a cleaning. I cleaned the filter and changed the water. But as I was putting everything back together, I noticed that the filter wasn't working (and yes it was plugged in)
This is the first time that I've had a problem with cleaning the tank.

I think it's time to make a decision about the fish. Keep them or lose them.
What will it be? I know that when baby Z comes, I won't have time to care for fish. My baby Z will be so important to me that I will forget about them. Poor fish.......
Lately it is getting more and more difficult to lean over and clean the tank.
But on the other hand, I was thinking about baby Z. I think he would love to look at the fish and watch as I feed them. It might help to keep him entertained when he starts crying. But I don't know if I can keep up with the fish maintenance while we have a baby to care for. I may be able to ask David to help me with the fish but don't know he's pretty busy.