Is it common to get random woodies?

Don't worry, guy. It's perfectly normal. Think of it as a sign that your sausage is still working. Your hormones are probably off the scale and you strongly desire sex, thus the reason for the erections.

Woodles? Sounds like a kid's show!

I go to Home Depot, but I don't always get stuck walking around with wood.

Actually, it can happen. Luckily, it doesn't usually show up in super embarrassing situations. I mean if it happens I can sit for a while and hide it pretty well until I'm ready to leave. Sometimes the old jacket is on my lap, but I've been lucky.

I usually get it in the early morning.

It happens. To some more than others.

I can assure you you man, you are completely normal. I'm in my 30's and that still happens to me. Hell, I'm sure even old fellas have random woodies too!
Enjoy it, don't fear it!