I am trying to install a new bathroom washbasin sink and have never seen the type of connectors on the faucet pipes, and can't find a maker's name to look it up. They are evidently plastic and may be 'push fit' since I can't see any threads, but they won't pull apart and seem to be locked together. Maybe you need some sort of squeeze tool. There seems to be a catch on the side of each block but I don't know what it's for. The faucets are about four or five years old, not an attached set, the pipes I'm talking about are reinforced clear plastic of some sort. I'd like to use them again as they weren't giving any trouble, just I need to move them to leave room for the new basin.

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If this fitting has a secondary ring on each opening of the fitting, what you might try is to push in on this ring and as it moves un pull the tubing or pipe out.

If this fitting has a secondary ring on each opening of the fitting, what you might try is to push in on this ring and as it moves un pull the tubing or pipe out.

I have discovered that my set is probably Peerless/Delta series 3540 (not by any markings I can find but just trial and error) but it looks like them and they have 'snap to fit' connectors but they don't say anything about how to disconnect. I may just have to try brute force and ignorance as they say. Thanks for your help. JADAR.

What letmetellu said is very typical. You push the top of the connector parallel to the tube (where the tube exits) and then pull the tub out.