more than one thing connected to SPI?

I have two different devices that I need to interface with using SPI.

I only need to send not read from them.

Can I have them both connected to the SPI pins but then use two different chip select lines (one for each) so I can differentiate between which ones I am transmitting data to?

Yes, if the devices are well-behaved. The way SPI is designed, devices are supposed to set their output pins in a high-impedance state if the chip select line is not asserted.

I have used multiple devices of the same type on the same bus (with independent slave selects).