Learn both and I would say learn both within a close time frame, as it's likely your early Japanese lessons will be using both. Of course being aware of the differences is key (hiragana for Japanese words, katakana for borrowed-words, then of course kanji). "In between" is throwing me off, but if I understand you correctly, then no there's not and you can jump straight from hiragana to katakana!
As I said, learning both around the same time is probably a good idea so you can differentiate between them early on. Look for similarities, create your own mnemonics and so on! Your learning style should be catered to how you learn best, and your progress is a reflection of your efforts! Hiragana and katakana are absolutely necessary, so it is important that you grasp them entirely first before starting grammar or other points. I spent a lot of time writing and re-writing gana/kana in a notebook, looking for which one's didn't "come out right" (i.e. I wrote them poorly or they didn't match what the character looked like) and spent more time on characters I struggled remembering and writing, while "mastered" characters I merely reviewed. Doing this for a few days was incredibly helpful, there's also apps for learning both, which you could look into! 頑張って！🌟
Like writing a few simple word per day. If you can integrate that into your daily life, it will help you a lot later. It could be writing your groceries in kana for example. Or your to do list. No need to use sentences btw. Simple word that you use frequently or word that you like are more than enought.
Beyond being able to recognize individualy, reading them in a word or a sentences is a slightly different ability. Plus, if you don't use them, you may forgot the less frequent ones (especially the katakana later) or struggle to recognize them at native speed. So, the more you make use of them early on, the more it will be easier later on. Especially if you integrate that into your daily habit (outside of your daily learning routine, I mean). Like a normal native would takes notes for various thing.
So, to sum up, congratz! Now that the first step is taken, you can already start to use basic japanese, so use it =p 頑張ってね!
