Need Help With an Audio Setup

Hello there,
I'm a little new to the audio game and have been satisfied with my Audio Technica ATHM50s and a dinky little Fiio amp. Recently, however I have become interested in Vinyl Records and have purchased a Audio Technica turntable. As of now I'm just plugging my headphones in but would like to upgrade to a speaker setup. With this upgrade however, I'd like to connect the other input devices on my desk to the same set of speakers. I would need to connect a TV with HDMI port, the turntable, an Xbox one, and an Amazon Alexa. (through Bluetooth if possible) The caveat comes with my budget. I can't afford a robust receiver setup with the inputs I need. Along with this, while doing some research on speakers, I came across the Micca PB42X Powered Bookshelf Speakers. From what I know powered speakers are a bit of a sin in the audio world, but it would definitely save me money and I've heard good things about them. I'd love to hear the forum's professional opinions, and if you have any better ideas for my budget setup I'd love to hear them. Thanks.