I've been thinking of getting rid of the ps3 since I don't really like having multiple consoles. However, I'm bored with my ps4, and there are still ps3 games I would like to play.

Do I just skip them (it's not like I'm going to play every game that takes my fancy) or do I play them while I wait for March/April?

Some of the games I would like to play are Ico/SotC, Dishonored, Sleeping Dogs, Dragon's Dogma, and Ni No Kuni.

I won't be. I only got it less than 2 months ago, I have an entire back catalogue to explore plus new releases to lookk forwards to like Dark Souls 2 and Persona 5 - my PS3 is going to keep getting used for many a year yet,

Not happening! I still have my original Playstation and my PS2 slim and they both work. I won't break up the family!

Why are you asking this odd question? Seems very silly to me. You shouldnt assume everyone is into selling their old stuff.

Im not selling my PS3 for some quick bucks, not ever, will keep it forever. Im not cash strapped and if I was I would find better ways to finance my needs than selling a cheap console.

only if ps now lets me play every ps3 game I have

There way more use for your PS3 then PS4 atm, and if you don't care for graphics, there's watch dogs

Persona 5 and the new Tales are worth keeping it around.

Especially Persona 5.

I'm a bit surprised at the overwhelming "never" for answers here. I used to hold on to stuff too, that's how I grew up. My father refused to sell anything or even throw stuff away.

I finally learned to let go though; as a practice in new age spirituality to counter the effects of materialism. I've made many mistakes, though. I've sold 2 PS3's in the past and I'm currently on my 3rd one. I've also re-bought many games I just wanted to play again like Eternal Sonata.

However, I've also earned quite a bit back. My entire PS4 was paid off for by store credit at Gamestop.

By trading your games and consoles you can earn quite a bit back. Not to profit or anything but it can definitely make your hobby cheaper. That's why I asked the question, my mindset is that it's common practice to sell and trade stuff to finance your hobby. 

You recover 100 on the sale of a console you paid 300+ I can't see how that could be called saving, even more when you have made it 3 times... maybe you should change yours mathematic brain.

Never. Way too many games for it, plus more upcoming games. I have enough room for all my consoles in one place anyway.