Create a Sarch facility in Shopify Theme (CSS) and other enhancements

I have a number of requirements to my website that is based on a shopify template from Vantage. Firstly - to add a more powerful search facility on the left had side of the screen (see screenshot) - basically it should have some drop downs that allow a customer to search by Bra Size, Cup or Style (i.e. bra, briefs, body etc) and Colour. So a quite clear selection box to replace the Sign Up / Search section and occupy that top left part of the website header - present on every screen ideally with a SEARCH button to execute the routine. In terms of then how the results are laid out - basically this should return a page with the image on the left hand size and some details about the product to the right with the ability to click to take you to the product page.. alternatively something like this : [login to view URL]*%26ContextCategoryUUID%3D2AF_AAABgW4AAAFCt7huWpjp%26VdV_MainColorTranslation%3Dgrey%26VdV_Season%3D161&PageSize=36&CategoryName=Whats_New&CategoryDomainName=VDV-Whats_New from a competitor that has the search criteria on the left hand size - I'm not sure what works best to be honest but welcome thoughts and ideas - as long as it fits within the site style - certainly the basic search at the top of the left hand side of the screen is useful for people and 'real estate' that is kind of wasted currently that could be optimised. The Second enhancement is on the following 'new collections' page For some reason when you view this on a mobile device the text overlaps each other - I created a new template for this page style and whilst it works okay on a MAC or PC desktop on a mobile device it has problems. [login to view URL] The Third enhancement is to create a new page that is accessed via a separate link (i.e. that you can't see from the website) - this should then list out specific products in a new collection - essentially this is simple to do however I want this particular page to be customised in terms of the look and feel to be more like a secret boudoir - with the products listed out and prices that overide the current price (i.e. if the advertised price on the main website is £50 then the price on this specific page is £40 (and can only be seen via this link - i.e. a specific VIP back door price) - hope that makes sense. There may be future requirements (both simple and more straightforward).