Transporting betas does stress them out but it can be safely done. I had my first beta for 3 years while at college and often for breaks had to transport him to and from school - a good 1 1/2 hours in the car. What I did was made sure that his small tank was on the floor in front of the front passanger seat. At this spot there is less chance of the water sloshing all over the place. My tank I used for transportation was only a 1 gallon tank which fit into a basket and would support further with towells. This made a very stable and snug way to transport him. The longest I have ever transported a beta is 2 1/2 hours. If you are traveling farther just make sure the tank is not getting too hot or cold and make sure they are not being sloshed around roughly.
Good care conditions: clean water -25% water changes every week, feed daily, treat water for cholrine and heavy metas (bowl buddies tablets work well-jungle product).
Keavy does have a good point about getting a healthy fish in the first place. This can be done but a simple way to do this is to talk with the store you are planning to go to -even meijer if you wanted- and ask when they get their new shipments of beta fish. Come on that day and that way they haven't had a chance to be so poorly treated that they are sick. My beta I got at meijer by doing this and his is going to be 1 year old in August. You can tell the relative age of a beta but how big they are. Older betas have thick flowing fins and large bodies. Younger betas will have a thin and trim look and their fins while long will not be nearly as wide.
I also agree with them that male betas are best kept by themselves. Some few people I know have been able to put them in a larger tank with other fish, but there is always the risk of fighting from your beta and other fish nibbling on their long fins.
I think it is wonderful that you are getting a new baby.

Don't stress no one is hopeless in learning to be a good fish parent.
Fantails and Betas