travel to Spain in October or November?

Where in Spain do you want to go?
November would be better for Andalucía, October would be better for the north coast.

Spain is a big country with diverse climates, it depends where you will go but in general I think you'll be fine either in October or November, no major attractions close down.

The plan is Toledo, Barcelona, Granada, Seville, Madrid with a few day trips thrown in along the way.

Either would work for me, so choose based on which best suits your schedule.

Thanks so much to you all!

This Web site (link following) can show you lots of weather info for pretty much any location. It provides easy-to-read graphs and plenty of other info as well. This link might point to info for Tarragona; enter any location you choose in the Find City box in the upper right corner. You can choose whether you want annual, seasonal, or monthly data by clicking on the appropriate items near the top of the page, just below the Find City box.

https://weatherspark.com/y/45958/Average-Weather-in-Tarragona-Spain-Year-Round#Figures-Temperature

We were in Barcelona, Sitjes, Granada and Seville in November. The weather was fantastic. Warm in Barcelona, and beach weather further south in Seville and Costa del Sol. We found Granada a bit cool in the evening. Everything was open. It was a great time of year to visit Spain. We took a spring/fall jacket with us to put over lighter layers.

We have been in Andalusia twice in late October/ early November and it was pleasant, not hot, perfect for site seeing..