Playing A-little when you hit the A

[mmanne]

I played a hand last night that confused me on the correct play. I won the hand, but still think I made the wrong move. On the button in a typical 2-4 online game, I got dealt A-4 Clubs. Three limpers called to me, I called, the blinds both called. Flop comes down A-8-2 rainbow (but none of my clubs). Checked to me, I bet. Both blinds and one of the limpers fold. The turn comes down as a 10, same suit as the 2. Checked to me, I BET. Everyone folded. This is where I think my mistake came, if I bet there, the only people that will call are a better A (a very small chance that a big J will call, but I doubt it). If I check and then make sure to put 1 bet in on the river, isn't this a better move? I can induce a bluff from a J, and if not, people might call me down expecting me to be bluffing. Opinions good and bad welcomed