Double pointed knitting Help

I am working on this pattern and I have a question on Design #4.

http://www.coatsandclark.com/NR/rdonlyres/2F5C7852-3860-4B4E-B453-E425099BCE99/143518/WR2097.pdf

Re: The part that says:
[FONT=ArialMT][SIZE=2][FONT=ArialMT][SIZE=2][FONT=ArialMT][SIZE=2][FONT=ArialMT][SIZE=2][LEFT]“Dividing sts evenly around double-pointed needles, join
yarn at center of one long side of Base, pick up 8 sts to
corner, pick up 3 sts along side edge, pick up 16 sts along
opposite long edge, pick up 3 sts along side edge, pick
up 8 sts along remaining edge – 38 sts. Join to work in[/LEFT]
rounds, place marker for beginning of round.”

I just started in the middle of one of the long sides and picked up and knitted as it said. However, being that it is so small (size 1 needles), I was running into problems with it getting too tight. I was using a set of 4 dpn (using 3 to pick up and knit and then having one to start knitting in the round). Do you think it would be easier if I used another set of dpn (maybe use 1 or 2 more needles to even it out more) or would having too many needles get too complicated? Any other suggestions? Thank you for any suggestions.
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Sure, you can add another set or just one or 2 as long as you can keep them straight.