I use a all cotton batting for free motion quilting, as the ploy slips around. I also spray baste. Check your back often.

Spray baste helps tremendously! Another thing I do sometimes is to use water soluble thread and baste every foot or so (each block of rows). This helps hold it together a bit more than the spray baste alone. I use a large stitch and do a simple grid every 12-18" inches or so. I always do my stitch in the ditch first, then quilt the blocks. I rarely have any puckers. Once the quilt is all done, I wash it and the water soluble baste washes away.

Morelcabin is correct. Use darning foot (FMQ foot) for FMQ. Use walking foot for SID (after stippling is done) or whatever design is quilted in that block (space)

Wow, lots of advice. Looks to me like you're having the normal issues when learning FMQ. I assure you my first quilts were a lot worse. Here's my take on things.
If you notice, your quilting around the lamb is actually quite good. The backing really shows up when there are areas of the quilt that are not quilted as much as the others. So, the lamb area looks poofy on the back. When there is a poofy area, you're bound to get puckers beside it.
Spray basting or using fusible batting is a great fix. Pin basting is also very good but you have to take the time to make sure you tape the backing down tight to the table before layering the batting. Take the batting out of the package before you're ready to use it so it can relax and 'dewrinkle'. Make sure it's straight and evenly laid out before adding the top. Smooth the top from the center to the outside. Once the entire quilt sandwich is ready, pin baste from the center of the quilt to the sides, pinning every 3 or 4 inches. I even pin baste when I use a spray baste on larger quilts.
I find that the quilting works a lot better if I quilt evenly throughout an area = making the spacing between the rows of stitching about equal. I do SITD around blocks before filling them in. If you've made the backing tight enough before basting, it works.
When I'm ready to do the borders, I stitch the edge together, about 1/8" in from the outer edge. I find it helps to prevent the border from bowing out. It also helps me gauge the border design so it fits in the border but doesn't get chopped off by the binding.
Anyway, keep up with the fmq. You're doing great, you just need more practise.

I use painters tape and tape my backing to the floor before layering on the batting and quilt top. Then pin every 4 inches or so and peel the whole thing off the floor to sew.

Q
 

Thanks to everyone for your suggestions. I actually taped the backing to the dining room table so it was nice and smooth. then I added the batting and then the quilt top. I started in the middle making sure it was all nice and straight with no wrinkles. then I pin based the top about every 4". When I turned the quilt over it looked very good so I thougt I was good to go. I do think the suggestion of FMQ the center of each block before the SID rows was a good idea. I could also have messed things up by removing the pins before FMQing the blocks. However, I straightened them out really well before doing the FMQ so I thought it would be OK. I used a darning foot on a Singer 15-91. I removed the pins so I would not sew over them or the foot get caught on them. I think perhaps a better way for the FMQ would be to baste the area really good. It just seems like when I do FMQ and I have only done it twice, it always winds up not staying taunt and when I get to the end I always have the puffy places. I have tried adjusting the presser foot tension but I am not sure that is the problem. Anyway, I don't think I can take out the stitches because they are very tiny and I will keep on trying. I am sure there are youtube videos on FMQ that I should check out. Again, thanks for your help and ideas. This is the greatest place for all things concerning quilting know how.